Triple Power Keno is a keno variation I noticed on a multi-game machine at the Red Rock casino on January 26, 2012. It plays like conventional keno, except if the last ball is one of the player's picks, then the player gets three extra balls and any win is tripled.
Return Tables
Following are various pay tables and their associated returns for various sets of pay tables I have seen.
Pay Table 1 has a maximum return of 88.75% for a pick 2.
Pay Table 1Expand
Catch
Pick 2
Pick 3
Pick 4
Pick 5
Pick 6
Pick 7
Pick 8
Pick 9
Pick 10
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
2
6
2
1
1
0
0
0
0
0
3
27
6
2
2
1
1
0
0
4
48
10
6
4
2
2
1
5
85
31
11
6
5
4
6
125
54
12
10
6
7
200
90
32
16
8
500
150
50
9
1000
400
10
1000
Return
86.49%
88.75%
88.62%
88.34%
88.50%
88.62%
88.55%
88.62%
88.40%
Pay Table 2 has a maximum return of 90.77% for a pick 2.
Pay Table 2Expand
Catch
Pick 2
Pick 3
Pick 4
Pick 5
Pick 6
Pick 7
Pick 8
Pick 9
Pick 10
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
2
6
2
1
1
0
0
0
0
0
3
28
6
2
2
1
1
0
0
4
51
10
6
4
2
2
1
5
100
33
12
5
3
3
6
150
55
20
13
7
7
200
100
80
25
8
500
200
120
9
1000
500
10
1000
Return
86.49%
90.77%
90.24%
90.44%
90.68%
90.56%
90.31%
90.41%
90.59%
Pay Table 3 has a maximum return of 91.33% for a pick 7.
Pay Table 3Expand
Catch
Pick 2
Pick 3
Pick 4
Pick 5
Pick 6
Pick 7
Pick 8
Pick 9
Pick 10
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
2
6
2
1
1
0
0
0
0
0
3
28
7
2
2
1
1
0
0
4
40
12
8
4
2
2
1
5
75
19
12
6
5
4
6
150
59
16
10
7
7
200
95
42
14
8
500
200
72
9
1000
350
10
1000
Return
86.49%
90.77%
90.50%
91.07%
91.08%
91.33%
91.22%
91.27%
91.18%
Pay Table 4 has a maximum return of 92.50% for a pick 5.
Pay Table 4Expand
Catch
Pick 2
Pick 3
Pick 4
Pick 5
Pick 6
Pick 7
Pick 8
Pick 9
Pick 10
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
2
6
2
1
1
0
0
0
0
0
3
28
6
2
2
1
1
0
0
4
55
11
7
4
2
2
1
5
100
28
12
5
5
4
6
150
65
24
10
7
7
200
95
50
15
8
500
175
90
9
1000
250
10
1000
Return
86.49%
90.77%
92.38%
92.50%
92.18%
92.49%
92.44%
92.45%
92.35%
Pay Table 5 has a maximum return of 94.56% for a pick 5.
Pay Table 5Expand
Catch
Pick 2
Pick 3
Pick 4
Pick 5
Pick 6
Pick 7
Pick 8
Pick 9
Pick 10
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
2
6
3
1
1
0
0
0
0
0
3
21
6
2
2
1
1
0
0
4
58
12
8
5
2
2
1
5
100
24
8
5
5
3
6
150
65
27
12
9
7
250
92
45
27
8
500
180
80
9
1000
400
10
1000
Return
86.49%
93.68%
94.00%
94.56%
94.32%
94.35%
94.08%
94.35%
94.32%
Analysis
Following is an example pay table seen at the Red Rock.
Example Pay Table
Catch
Pick 2
Pick 3
Pick 4
Pick 5
Pick 6
Pick 7
Pick 8
Pick 9
Pick 10
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
2
6
2
1
1
0
0
0
0
0
3
27
6
2
2
1
1
0
0
4
48
10
6
4
2
2
1
5
85
31
11
6
5
4
6
125
54
12
10
6
7
200
90
32
16
8
500
150
50
9
1000
400
10
1000
The next table shows the probabilities for catching any given number of balls, assuming that the player did NOT catch the last ball.
20-Ball Probabilities if the 20th Ball Was Not CaughtExpand
Catch
Pick 2
Pick 3
Pick 4
Pick 5
Pick 6
Pick 7
Pick 8
Pick 9
Pick 10
0
0.560127
0.416504
0.308321
0.227184
0.166602
0.121574
0.088266
0.063748
0.045791
1
0.360759
0.409323
0.411095
0.385402
0.345320
0.299433
0.253141
0.209632
0.170593
2
0.054114
0.124878
0.191372
0.243412
0.277489
0.293989
0.295331
0.284784
0.265731
3
0.011794
0.036761
0.071345
0.110347
0.148744
0.182568
0.209193
0.227292
4
0.002451
0.009674
0.022830
0.041753
0.065203
0.091284
0.117855
5
0.000484
0.002322
0.006479
0.013727
0.024451
0.038571
6
0.000090
0.000512
0.001657
0.004004
0.008036
7
0.000016
0.000104
0.000385
0.001047
8
0.000003
0.000020
0.000081
9
0.000000
0.000003
10
0.000000
Total
0.975000
0.962500
0.950000
0.937500
0.925000
0.912500
0.900000
0.887500
0.875000
The next table shows the probability of each combination of picks and catches assuming the player DID catch the 20th ball.
20-Ball Probabilities if the 20th Ball Was CaughtExpand
Catch
Pick 2
Pick 3
Pick 4
Pick 5
Pick 6
Pick 7
Pick 8
Pick 9
Pick 10
0
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
1
0.018038
0.019426
0.018500
0.016431
0.013934
0.011423
0.009121
0.007126
0.005464
2
0.006962
0.015263
0.022201
0.026777
0.028919
0.028997
0.027541
0.025082
0.022079
3
0.002812
0.008325
0.015336
0.022493
0.028724
0.033367
0.036147
0.037093
4
0.000974
0.003651
0.008179
0.014185
0.020985
0.027806
0.033941
5
0.000304
0.001388
0.003675
0.007384
0.012460
0.018602
6
0.000088
0.000473
0.001450
0.003323
0.006318
7
0.000023
0.000147
0.000514
0.001326
8
0.000006
0.000042
0.000165
9
0.000001
0.000011
10
0.000000
Total
0.025000
0.037500
0.050000
0.062500
0.075000
0.087500
0.100000
0.112500
0.125000
The next table shows the contribution to the return for all combinations of picks and catches, assuming the 20th ball was not caught.
Return if the 20th Ball Was Not CaughtExpand
Catch
Pick 2
Pick 3
Pick 4
Pick 5
Pick 6
Pick 7
Pick 8
Pick 9
Pick 10
0
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
1
0.360759
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
2
0.324684
0.374635
0.191372
0.243412
0.000000
0.000000
0.000000
0.000000
0.000000
3
0.247675
0.220564
0.142690
0.220693
0.148744
0.182568
0.000000
0.000000
4
0.142141
0.116086
0.182643
0.208764
0.130406
0.182568
0.117855
5
0.048369
0.055721
0.051831
0.068635
0.122256
0.115712
6
0.013543
0.033309
0.044731
0.048044
0.072320
7
0.003965
0.009595
0.017307
0.028276
8
0.001304
0.003520
0.006500
9
0.000398
0.001347
10
0.000056
Total
0.685443
0.622310
0.554078
0.550557
0.472601
0.446614
0.437239
0.374093
0.342066
The next table shows the contribution to the return for all combinations of picks and catches, assuming the 20th ball was caught.
Return Table if 20th Ball Was CaughtExpand
Catch
Pick 2
Pick 3
Pick 4
Pick 5
Pick 6
Pick 7
Pick 8
Pick 9
Pick 10
0
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
1
0.054114
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
2
0.125316
0.137366
0.066602
0.080331
0.000000
0.000000
0.000000
0.000000
0.000000
3
0.177130
0.149854
0.092016
0.134956
0.086171
0.100100
0.000000
0.000000
4
0.169426
0.131451
0.196300
0.212769
0.125912
0.166834
0.101824
5
0.091285
0.099903
0.088202
0.110756
0.186901
0.167421
6
0.039435
0.092140
0.117442
0.119617
0.170580
7
0.017616
0.040494
0.069323
0.107402
8
0.008825
0.022636
0.039675
9
0.004137
0.013284
10
0.000906
Total
0.179430
0.314496
0.385881
0.395083
0.470594
0.496898
0.503530
0.569449
0.601094
The final analysis table shows the combined return for all picks and catches, whether or not the 20th ball was caught.
